Physics at Small Numbers of Particles Within the Frame of a Horizon

TL;DR

This paper proposes a linearized quantum gravity model within a horizon framework, revealing solutions with particle-like properties and potential explanations for dark matter, cosmic expansion, and the weakness of gravity.

Contribution

It introduces a novel horizon-based linearized quantum gravity model with four solution types, including one particle-like, offering insights into fundamental cosmic phenomena.

Findings

Identifies four solution types in a 2-quantum space, one with particle-like properties.

Shows the gravitational effect can be arbitrarily small compared to electromagnetic effect.

Suggests a mechanism for the Big Bang without singularities, linking microstructure to cosmic macrostructure.

Abstract

The Einstein equations are non-linear and the particles of which the gravitational effect is described by these equations are lastly unknown. If renormalizable fields are assumed, then results are obtained only in the case of a at space. Therefore, there is still no generally recognized quantum theory of gravitation and electromagnetism. In this work the solution of these quantum mechanic problems are forced in some sense: the metric tensor is linearized, and it is required that the entire system of equations is invariant with respect to the symmetry group of the linearized Einstein equations. The field which represents this symmetry group only allows a measurement within the horizon to simulate the event horizon. It is shown that the number of quants of this field is constant. There are 4 types of solutions in the 2-quantum space, of which one has particle-like properties. This particular solution has a gravitational effect which can be externally arbitrarily small, as compared to its electromagnetic effect. In contrast, this does not apply to the other 3 solutions. The model might be used to explain why gravitation is so much weaker than the electromagnetic interaction in real physics. Accordingly, the Higgs boson is possibly not necessarily be required for the mass scale. Likewise, an explanation could be made why gravitation and electromagnetic inter- actions had the same intensity during the early stages of the universe. A peculiarity of the model provides a mechanism for the Big Bang in all four types of solutions, although there is no singularity. As a consequence of the inferred change in the microstructure, a change in the macrostructure of the cosmos is suggested, allowing an understanding of the particular properties of the Dark Matter and the accelerated expansion of the cosmos.